Then each

positive zero of [mathematical expression not reproducible] is increasing (decreasing) on ([alpha]1, [[alpha].sub.2]) depending on whether (2.8) is increasing (decreasing) on [0, a].

In fact, we also obtain the existence of

positive zero points for system (41).

According to Lemma 3.1, the function [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] has only one real

positive zero point as [H.sub.k] = 2c/n [(c(k - 2)/k - n).sup.k-2/2] while it has only two distinct real

positive zero points for [H.sub.k] > 2c/n [(c(k - 2)/k - n).sup.k-2/2].

The piece, titled

Positive Zero, turned out to be the worst failure of Ulay's and my careers.

The company announces that it neither expects growth nor drop in production but that it will stay at a

positive zero.

It is also true that citizens, for seven months now, travel without visas and that Macedonia is still on a

positive zero in conditions of a difficult eco-nomic crisis.

One of the biggest exporters Makstil closed 2009 with a

positive zero. Makpetrol had a loss of 4.5 million euros and Zito Luks's loss peaked at 1.6 million euros.

In the polynomial [p.sub.1](x) = [[mu].sub.1][[mu].sub.2.sup.2][x.sup.4] - 2[K.sub.2][[mu].sub.1][[mu].sub.2][x.sup.2] + x + [[mu].sub.1][K.sub.2.sup.2] - [K.sub.1]' (which is defined by the left hand side of equation 1.5) there are sign changes among the coefficients [[mu].sub.1][[mu].sub.2.sup.2], -2[K.sub.2][[mu].sub.1][[mu].sub.2], 1 and ([[mu].sub.1][K.sub.2.sup.2] - [K.sub.1]); therefore, by Descartes' rule of signs, there are either three

positive zeroes or there is one

positive zero for the polynomial.

The finer fuzzy domains are introduced and new fuzzy partitions are used: big negative (BN), small negative (SN), negative zero (NZ), zero (Z), and

positive zero (PZ), small positive (SP), big positive (BP).

Hypotheses Merger Announcement Merger Termination Returns Announcement Returns Target Target Rival Target Market Power Positive Positive Negative Signaling Version 1 Positive

Positive Zero Version 2 Positive Positive Negative Version 3 Positive Positive Negative Competitive Positive Negative Negative Advantage Hypotheses Combined Announcement Returns Target Rival Target Target Rival Market Power Negative Zero Zero Signaling Version 1 Zero Positive Positive Version 2

Positive Zero Positive Version 3 Negative Zero Zero Competitive

Positive Zero Zero Advantage

Thus, there is exactly one

positive zero, denoted by r.

where [[omega].sub.n] is the volume of the unit ball in [R.sup.n] and [j.sub.v] is the first

positive zero of the Bessel function [J.sub.v] of order v.